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aksik [14]
3 years ago
6

Driving a piling into a harbor bottom, a pile driver sinks the piling 24 inches on the first stroke, 18 inches on the second str

oke, and 13 1/2 inches on the third stroke. If the sequence is continued, how far will the piling be driven down on the 5th stroke?
Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

7.6 inches to the nearest tenth.

Step-by-step explanation:

18/24 = 3/4.

13.5 / 18 = 3/4.

This is a Geometric sequence with common ratio 3/4 or 0.75.

We need to find the fifth term of the sequence.

5th term = a1 (r)^(5 - 1)

=  24 * (0.75)^(5-1)

= 24 *  0.316406

=  7.6 inches.

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How many times 0.05 is 0.5
rosijanka [135]
To answer your question:
0.5 is 10 times greater than 0.05
8 0
4 years ago
Megan purchased 5 square yards of flooring for a total of $270. What was the price of this flooring per square foot?
grin007 [14]

Answer:

$18 per square foot.

Step-by-step explanation:

First there are 3 feet in a yard. So if she purchased 5 square yards there would be 3 times as many square feet soo.

5*3= 15

So there were 15 square feet in the 5 square yards.

Now just divide 270/15 = 18

$18 per square foot.

Hope this helpsss!

5 0
3 years ago
What is the answer in need of help ask me some math questions and I got the answer
Kruka [31]
I am not sure but I think the answer is B.
3 0
3 years ago
During halftime of a soccer game, a slingshot launches T-shirts at the crowd. A T-shirt is launched from a height of 5 feet with
4vir4ik [10]

Hi,

During halftime of a soccer game, a slingshot launches T-shirts at the crowd. A T-shirt is launched from a height of 5 feet with an initial upward velocity of 72 ft. Per second. The T-shirt is caught 34 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time.

<u>Write the general equation that represents height of the t-shirt as a function of time. </u>

f(t) = -16t^{2} + 72t + 5

2. <u>What is the maximum height of the t-shirt?</u>

<u />t = \frac{-72}{2(-16)} = 2,25                         f(2,25) = -16(2,25)^{2} + 72(2,25) + 5

                                                                = 86 feet

1. <u>How long will it take the t-shirt to reach its maximum height?</u>

2,25 secondes

3. <u>The range describes which values of the graph? What would the range of this graph be? (Write in inequality and interval notation).</u>

height (y)

5 ≤ y ≤ 86        [ 5,86 ]

7 0
3 years ago
Multiply 2000,0.8,100,3,8 and then divide it by 6.
lisabon 2012 [21]

The answer is 64,000 hope this helped ☺

5 0
4 years ago
Read 2 more answers
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